Just allow recently won items to still be tradeable to other members of your current instance, until the instance is exited. That option would be much more flexible. You could make amends if you ever accidentally hit Need and didn't really feel the item was an upgrade. You could place your Greed as a second vote to help another player secure the item for a secondary job. You could Greed all the items you see and then donate what you win to the new player who's doing the instance for the very first time. It's the power of choice.